Uniform approximation with linear combinations of reproducing kernels
Volume 121 / 1996
Studia Mathematica 121 (1996), 105-114
DOI: 10.4064/sm-121-2-105-114
Abstract
We show several theorems on uniform approximation of functions. Each of them is based on the choice of a special reproducing kernel in an appropriate Hilbert space. The theorems have a common generalization whose proof is founded on the idea of the Kaczmarz projection algorithm.